105550505700 has 72 divisors (see below), whose sum is σ = 305804468928. Its totient is φ = 28108859520.

The previous prime is 105550505677. The next prime is 105550505701. The reversal of 105550505700 is 7505055501.

It is a super-2 number, since 2×105550505700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550505701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13867 + ... + 459666.

Almost surely, 2^105550505700 is an apocalyptic number.

105550505700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105550505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152902234464).

105550505700 is an abundant number, since it is smaller than the sum of its proper divisors (200253963228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105550505700 is a wasteful number, since it uses less digits than its factorization.

105550505700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474293 (or 474286 counting only the distinct ones).

The product of its (nonzero) digits is 21875, while the sum is 33.

The spelling of 105550505700 in words is "one hundred five billion, five hundred fifty million, five hundred five thousand, seven hundred".